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Some remarks on a class of weight functions

Loredana Caso;  Maria Transirico — 1996

Commentationes Mathematicae Universitatis Carolinae

In this paper we obtain some results about a class of functions ρ : Ω → R + , where Ω is an open set of R n , which are related to the distance function from a fixed subset S ρ ⊂ ∂ Ω . We deduce some imbedding theorems in weighted Sobolev spaces, where the weight function is a power of a function ρ .

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